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Grade 10 Math Courses - Florida Curriculum

Discover Florida's Grade 10 math curriculum focusing on Geometry. Explore key concepts, problem-solving strategies, and prepare for success in high school mathematics and beyond.

Florida Grade 10 Math Curriculum - Geometry

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FL Standard
Shortened Benchmark
StudyPug Topic
MA.912.GR.1.1
Prove and apply relationships and theorems about lines and angles
Pairs of lines and angles
Parallel lines and transversals
Parallel line proofs
Perpendicular line proofs
MA.912.GR.1.2
Prove and apply the sum of interior angles of a polygon
Classifying triangles
Congruence and congruent triangles
Triangles congruent by SSS proofs
Triangles congruent by SAS and HL proofs
Triangles congruent by ASA and AAS proofs
MA.912.GR.1.3
Prove and apply measures of interior and exterior angles of polygons
Isosceles and equilateral triangles
MA.912.GR.1.6
Prove that the medians of a triangle meet at a point
Similar triangles
Similar polygons
MA.912.GR.2.1
Describe and represent transformations algebraically
Rotational symmetry and transformations
MA.912.GR.2.2
Identify transformations that do or do not preserve distance
Enlargements and reductions with scale factors
MA.912.GR.2.3
Identify a sequence of transformations that will map a figure onto itself or another figure
Scale diagrams
MA.912.GR.2.5
Draw transformed figures on a coordinate plane
Introduction to transformations
Horizontal and vertical distances
MA.912.GR.2.6
Apply rigid transformations to map one figure onto another to justify congruence
Draw on coordinate planes
MA.912.GR.2.8
Apply transformations to map one figure onto another to justify similarity
Cartesian plane
MA.912.GR.3.1
Determine the weighted average of two or more points on a line
Midpoint formula: M=(x1+x22,y1+y22)M = ( \frac{x_1+x_2}2 ,\frac{y_1+y_2}2)M=(2x1​+x2​​,2y1​+y2​​)
MA.912.GR.3.2
Use coordinate geometry to classify or justify definitions, properties and theorems
Distance formula: d=(x2−x1)2+(y2−y1)2d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}d=(x2​−x1​)2+(y2​−y1​)2​
Slope equation: m=y2−y1x2−x1m = \frac{y_2-y_1}{x_2- x_1}m=x2​−x1​y2​−y1​​
Slope intercept form: y = mx + b
General form: Ax + By + C = 0
Point-slope form: y - y_1 = m(x - x_1)
MA.912.GR.3.3
Solve geometric problems involving lines, circles, triangles and quadrilaterals
Graphing linear functions using table of values
Graphing linear functions using x- and y-intercepts
Graphing from slope-intercept form y=mx+b
Graphing linear functions using a single point and slope
Word problems of graphing linear functions
MA.912.GR.4.1
Identify shapes of two-dimensional cross-sections of three-dimensional figures
Surface area of 3-dimensional shapes
MA.912.GR.4.2
Identify three-dimensional objects generated by rotations of two-dimensional figures
Line symmetry
MA.912.GR.4.3
Determine how dilations affect area and volume
Introduction to surface area of 3-dimensional shapes
Nets of 3-dimensional shapes
MA.912.GR.4.5
Solve problems involving volume of three-dimensional figures
Surface area and volume of prisms
Surface area and volume of pyramids
Surface area and volume of cylinders
Surface area and volume of cones
Surface area and volume of spheres
MA.912.GR.4.6
Solve problems involving surface area of three-dimensional figures
Surface area of prisms
Surface area of cylinders
MA.912.GR.5.1
Construct a copy of a segment or an angle
Metric systems
Imperial systems
MA.912.GR.5.2
Construct the bisector of a segment or an angle
Conversions between metric and imperial systems
Conversions involving squares and cubic
MA.912.GR.5.3
Construct the inscribed and circumscribed circles of a triangle
Circles and circumference
MA.912.GR.6.1
Solve problems involving length of secants, tangents, segments, or chords
Arcs of a circle
MA.912.GR.6.2
Solve problems involving measures of arcs and related angles
Areas and sectors of circles
Central angles and proofs
Inscribed angles and proofs
MA.912.GR.6.3
Solve problems involving triangles and quadrilaterals inscribed in a circle
Central and inscribed angles in circles
Circle chord, tangent, and inscribed angles proofs
MA.912.GR.6.4
Solve problems involving arc length and area of a sector
Angles in a circle
Chord properties
Tangent properties
MA.912.GR.7.2
Derive and create the equation of a circle
Conics - Circle
MA.912.GR.7.3
Graph and solve problems modeled with equations of circles
Conics - Parabola
Conics - Ellipse
Conics - Hyperbola
MA.912.LT.4.3
Identify and interpret logic statements, find converse, inverse and contrapositive
Inductive reasoning
Statements
Negations
Conjunctions and disjunctions
Truth tables
Conditionals
Inverses, converses, and contrapositives
MA.912.LT.4.10
Judge the validity of arguments and give counterexamples
Biconditionals
Deductive reasoning
Algebraic proofs
MA.912.T.1.1
Define trigonometric ratios for acute angles in right triangles
Use sine ratio to calculate angles and sides (Sin = o / h)
Use cosine ratio to calculate angles and sides (Cos = a / h)
Combination of SohCahToa questions
Use tangent ratio to calculate angles and sides (Tan = o / a)
MA.912.T.1.2
Solve problems involving right triangles using trigonometric ratios and Pythagorean Theorem
Word problems relating ladder in trigonometry
Word problems relating guy wire in trigonometry
Other word problems relating angles in trigonometry
Solving expressions using 45-45-90 special right triangles
Solving expressions using 30-60-90 special right triangles
Pythagorean theorem
Estimating square roots
Using the pythagorean relationship
Applications of pythagorean theorem

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